Coded metrics that compare representations of structures within the human body to evaluate their similarity are considered useful for planning radiation therapy on cancer targets. However, existing metrics fail to take into account the dose of radiation that will be received by both the target, and surrounding non-target tissue, during...
A long running problem in mathematical biology is the prediction of extinction events, a specialized case of the larger global stability problem found in differential equations and dynamical systems theory. A central technical question is how to introduce the randomness observed in real ecological systems not accounted for in deterministic...
Microbial ecology has been transformed by metagenomics, the study of the genetic in-formation in entire communities of organisms. In the following we develop metagenomic tools arising from the classic Wasserstein metric as applied to questions regarding the diversity between microbial communities. We provide a novel proof of the characteriza-tion of...